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Finding the Third Proportional to 153,005.63 and 237,500.44

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Solution

The third proportional to 153,005.63 and 237,500.44 is: 368,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,005.63 : 237,500.44 = 237,500.44 : x
  2. Step 2: Convert to fraction form
    153,005.63/237,500.44 = 237,500.44/x
  3. Step 3: Cross multiply
    153,005.63x = 237,500.44 × 237,500.44
  4. Step 4: Simplify right side
    153,005.63x = 56,406,457,812.69
  5. Step 5: Solve for x
    x = 56,406,457,812.69/153,005.63
  6. Step 6: Final answer
    x = 368,656.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.